Boundary Value Problems
Volume 2006 (2006), Article ID 79679, 10 pages
doi:10.1155/BVP/2006/79679
On the existence of positive solution for an elliptic equation of Kirchhoff type via Moser iteration method
Departamento de Matemática-CCEN, Universidade Federal do Pará, Belém-Pará 66.075-110, Brazil
Received 18 November 2005; Revised 11 April 2006; Accepted 18 April 2006
Dedicated to our dear friend and collaborator Professor Claudianor O. Alves
Copyright © 2006 Francisco Júlio S. A. Corrêa and Giovany M. Figueiredo. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
We investigate the questions of existence of positive solution for the nonlocal problem −μ(‖u‖2)Δu=f(λ,u) in Ω and u=0 on ∂Ω, where Ω is a bounded smooth domain of ℝN, and M and f are continuous functions.